3 papers
math.OC2026
A frugal primal-dual splitting with minimal lifting over arbitrary rooted trees
Feng Xue, Hui Zhang
We develop a frugal primal-dual splitting with minimal lifting for solving structured monotone inclusions, involving cocoercive operators, linear compositions and parallel sums. Th…
math.OC2025
Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond
Feng Xue, Hui Zhang
We investigate the solution properties of the regularized least-squares problem. Using a subspace decomposition technique, we derive expressions for the solution set in terms of th…
math.NA2024
Fourier Beyond Dispersion: Wavenumber Explicit and Precise Accuracy of FDMs for the Helmholtz Equation
Hui Zhang
We propose a practical tool for evaluating and comparing the accuracy of FDMs for the Helmholtz equation. The tool based on Fourier analysis makes it easy to find wavenumber explic…